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Variables acceptance reliability sampling plan based on degradation test

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Abstract

Until now, various acceptance reliability sampling plans have been developed based on different life tests. In most of the reliability sampling plans, the decision procedures are based on the lifetimes of the items observed on tests, or the number of failures observed during a pre-specified testing time. However, frequently, the items are subject to degradation phenomena and, in these cases, the observed degradation level of the item can be used as a decision statistic. In this paper, assuming the gamma degradation process, we develop a variables acceptance sampling plan based on the information on the degradation process of the items. It is shown that the developed sampling plan improves the reliability performance of the items conditional on the acceptance in the test and that the lifetimes of items after the reliability sampling test are stochastically larger than those before the test. A study comparing the proposed degradation-based sampling plan with the conventional sampling plan which is based on a life test is also performed.

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Acknowledgements

The authors sincerely thank the referees for helpful comments and valuable advices, which have improved the presentation of this paper. The work of the first author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant Number: 2019R1A6A1A11051177). The work of the second author has been supported by the Spanish government research projects MTM2015-63978 (MINECO-FEDER) and PGC2018-094964-B-100 (MINECO-FEDER).

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Authors and Affiliations

  1. Department of Statistics, Ewha Womans University, Seoul, 120-750, Republic of Korea

    Ji Hwan Cha

  2. Department of Statistical Methods, University of Zaragoza, 50018, Zaragoza, Spain

    F. G. Badía

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  1. Ji Hwan Cha
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  2. F. G. Badía
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Correspondence to Ji Hwan Cha.

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Cha, J.H., Badía, F.G. Variables acceptance reliability sampling plan based on degradation test. Stat Papers 62, 2227–2245 (2021). https://doi.org/10.1007/s00362-020-01185-1

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  • DOI: https://doi.org/10.1007/s00362-020-01185-1

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